In a certain code language, A + B means 'A is the son of B', A - B means 'A is the wife of B', A × B means 'A is the brother of B', A ÷ B means 'A is the mother of B'. Based on the above, if 'P - Q × R + S ÷ T', which of the following is true?
Q is the son of S.
Understanding Blood Relation Coding
This question asks us to decode a set of relationships expressed in a coded language and determine which of the given statements is true based on the decoded relationships. We are given the meaning of four operators: '+', '-', '×', and '÷'.
Decoding the Blood Relation Code
Let's break down the given code rules:
- A + B means 'A is the son of B'.
- A - B means 'A is the wife of B'.
- A × B means 'A is the brother of B'.
- A ÷ B means 'A is the mother of B'.
Analyzing the Expression: P - Q × R + S ÷ T
Now, we will decode the given expression segment by segment:
- P - Q: According to the rule 'A - B means A is the wife of B', P - Q means 'P is the wife of Q'. This tells us P is female, Q is male, and they are married.
- Q × R: According to the rule 'A × B means A is the brother of B', Q × R means 'Q is the brother of R'. This confirms Q is male. It also establishes that Q and R are siblings.
- R + S: According to the rule 'A + B means A is the son of B', R + S means 'R is the son of S'. This tells us R is male. Since R is the son of S, S is a parent of R.
- S ÷ T: According to the rule 'A ÷ B means A is the mother of B', S ÷ T means 'S is the mother of T'. This tells us S is female. Since S is the mother of T, S is a parent of T.
Combining the Relationships
Let's combine the relationships we've decoded:
- P is the wife of Q.
- Q is the brother of R.
- R is the son of S.
- S is the mother of T.
From 'Q is the brother of R' and 'R is the son of S', we can infer that Q is also the son of S. Both Q and R are children of S.
From 'S is the mother of T', we know T is also a child of S. So, Q, R, and T are all children of S. S is their mother.
The relationships derived are:
- S is the mother of Q, R, and T.
- Q is the brother of R and T (assuming same parents).
- R is the brother of Q and T (assuming same parents).
- T is the child of S (gender not specified).
- P is the wife of Q.
Evaluating the Statements Based on Decoded Blood Relations
Now, let's check each given option against the relationships we have established from the blood relation code:
- Q is the son of S.
From our analysis, 'R is the son of S' and 'Q is the brother of R'. If R is the son of S and Q is R's brother, then Q must also be the son of S. This statement is true.
- S is the mother of P.
We found that P is the wife of Q, and S is the mother of Q. Therefore, S is P's mother-in-law, not her mother. This statement is false.
- P is the daughter of T.
P is the wife of Q. Q is the brother of T (as both are children of S). This makes P the sister-in-law of T. P is not the daughter of T. This statement is false.
- T is the son of S.
We know that S is the mother of T. This means T is a child of S. However, the code 'A ÷ B' (A is the mother of B) only specifies the gender of A (mother, female), not the gender of B (the child). T could be a son or a daughter of S. We cannot definitively say T is the son of S. This statement is not necessarily true.
Conclusion on Blood Relation Analysis
Based on the detailed analysis of the expression 'P - Q × R + S ÷ T' and the given blood relation code, only the statement 'Q is the son of S' is definitely true.
| Expression Part | Code Rule | Relationship | Inferred Gender(s) |
|---|---|---|---|
| P - Q | A - B is wife of B | P is wife of Q | P: Female, Q: Male |
| Q × R | A × B is brother of B | Q is brother of R | Q: Male (confirmed), R: Male (from R+S) |
| R + S | A + B is son of B | R is son of S | R: Male (confirmed), S: Parent (Mother from S÷T) |
| S ÷ T | A ÷ B is mother of B | S is mother of T | S: Female (confirmed), T: Child (Gender unknown) |
Revision Table: Key Relationships
| Person | Relationship to S | Relationship to Q | Relationship to P |
|---|---|---|---|
| S | Self | Mother | Mother-in-law |
| Q | Son | Self | Husband |
| R | Son | Brother | Brother-in-law |
| T | Child (Son/Daughter) | Sibling (Brother/Sister) | Sibling-in-law (Brother/Sister-in-law) |
| P | Daughter-in-law | Wife | Self |
Additional Information: Solving Blood Relation Puzzles
Blood relation questions test your ability to understand and deduce family relationships from given information. Coded blood relation problems require you to first decode the symbols and then apply the relationships to the given expression.
Key strategies for solving these puzzles:
- Break down complex expressions into smaller parts based on the operators.
- Decode each part and write down the direct relationship and implied genders.
- Combine the relationships step-by-step, often visualizing a family tree can help.
- Pay close attention to gender information provided or implied by the relationships (e.g., 'son' implies male, 'mother' implies female, 'wife' implies female and indicates spouse is male).
- Carefully evaluate each statement given in the options based on the complete set of relationships you have deduced.
- Ensure you are not making assumptions about relationships or genders unless they are explicitly stated or logically follow from the given rules.
Practice with different types of blood relation questions will improve your speed and accuracy in competitive exams.
Important Questions from Coded Blood Relation Problems
‘R+S’ means ‘R is the daughter of S’. ‘R−S’ means ‘R is the husband of S’.‘R × S’ means ‘R is the brother of S’. If ‘T × V + Z’, then which of the following options is true?
'P × Q' means 'P is the wife of Q'. 'P + Q' means 'P is the father of Q'. 'P ÷ Q' means 'P is the daughter of Q'. 'P - Q' means 'P is the son of Q'. How is E related to I in the expression 'E ÷ F + G - H ÷ I' ?
'K % L' means 'K is the brother of L', 'K $ L' means 'K is the husband of L', 'K @ L' means 'K is the sister of L', 'K # L' means 'K is the mother of L'.
How is H related to M in the expression ‘X @ P % T # M $ Y # J @ H’?
If ‘A % B’ means ‘A is the father of B’, ‘A # B’ means ‘A is the brother of B’, and ‘A $ B’ means ‘A is the wife of B’, then how is K related to R in the given expression?
K $ H % Y # M # R
If 'A + B' means 'A is the daughter of B ', 'A × B' means 'A is the sister of B', and 'A = B' means 'A is the wife of B', then how is G related to R in the expression 'C × G × U + M = R'?
